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Finding the Fourth Proportional to 200.77, 301.12 and 166.75

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Solution

The fourth proportional to 200.77, 301.12 and 166.75 is: 250.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.77 : 301.12 = 166.75 : x
  2. Step 2: Convert to fraction form
    200.77/301.12 = 166.75/x
  3. Step 3: Cross multiply
    200.77x = 301.12 × 166.75
  4. Step 4: Simplify right side
    200.77x = 50,209.42
  5. Step 5: Solve for x
    x = 50,209.42/200.77
  6. Step 6: Final answer
    x = 250.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.